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 A115263 Correlation triangle for floor((n+2)/2). 2
 1, 1, 1, 2, 2, 2, 2, 3, 3, 2, 3, 4, 6, 4, 3, 3, 5, 7, 7, 5, 3, 4, 6, 10, 10, 10, 6, 4, 4, 7, 11, 13, 13, 11, 7, 4, 5, 8, 14, 16, 19, 16, 14, 8, 5, 5, 9, 15, 19, 22, 22, 19, 15, 9, 5, 6, 10, 18, 22, 28, 28, 28, 22, 18, 10, 6 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 0,4 COMMENTS Row sums are A096338. Diagonal sums are A115264. T(2n,n) is A005993. T(2n,n)-T(2n,n+1) is floor((n+2)/2)(1+(-1)^n)/2 (aerated n+1). LINKS FORMULA G.f.: (1+x)(1+xy)/((1-x^2)^2*(1-x^2*y^2)^2*(1-x^2*y)); Number triangle T(n, k)=sum{j=0..n, [j<=k]*floor((k-j+2)/2)*[j<=n-k]*floor((n-k-j+2)/2)}. EXAMPLE Triangle begins 1; 1,1; 2,2,2; 2,3,3,2; 3,4,6,4,3; 3,5,7,7,5,3; CROSSREFS Sequence in context: A096198 A103183 A143901 * A055894 A224713 A168557 Adjacent sequences:  A115260 A115261 A115262 * A115264 A115265 A115266 KEYWORD easy,nonn,tabl AUTHOR Paul Barry, Jan 18 2006 STATUS approved

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Last modified August 20 18:11 EDT 2019. Contains 326154 sequences. (Running on oeis4.)